@article{Leshchenko_Zoria_2013, title={On diameters estimations of the commuting graphs of Sylow $p$-subgroups of the symmetric groups}, volume={5}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/3653}, DOI={10.15330/cmp.5.1.70-78}, abstractNote={<p>The commuting graph of a group $G$ is an undirected graph whose vertices are non-central elements of $G$ and two distinct vertices $x,y$ are adjacent if and only if $xy=yx$. This article deals with the properties of the commuting graphs of Sylow $p$-subgroups of the symmetric groups. We define conditions of connectedness of respective graphs and give estimations of the diameters if graph is connected.</p>}, number={1}, journal={Carpathian Mathematical Publications}, author={Leshchenko, Yu.Yu. and Zoria, L.V.}, year={2013}, month={Jun.}, pages={70–78} }